A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his class. In other words, the professor tested the...

A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his class. In other words, the professor tested the hypothesis H0 against the alternative Ha:

H₀: μ_M = μ_W

H_A: μ_M > μ_W




at the 5% level.


After collecting data from his students, he finds the P-value for the test was 0.003.


Which is the right conclusion for this test?